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Finding the Fourth Proportional to 209,410.31, 288,989.70 and 113,917.52

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Solution

The fourth proportional to 209,410.31, 288,989.70 and 113,917.52 is: 157,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,410.31 : 288,989.70 = 113,917.52 : x
  2. Step 2: Convert to fraction form
    209,410.31/288,989.70 = 113,917.52/x
  3. Step 3: Cross multiply
    209,410.31x = 288,989.70 × 113,917.52
  4. Step 4: Simplify right side
    209,410.31x = 32,920,989,929.54
  5. Step 5: Solve for x
    x = 32,920,989,929.54/209,410.31
  6. Step 6: Final answer
    x = 157,208.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.